math

rossby wave

A large-scale planetary wave whose restoring force is the variation of Coriolis parameter with latitude.
17 related articles

Description

Rossby waves are enormous, slow-moving meanders in the flow of planetary atmospheres and oceans. Unlike ordinary waves that need a surface or a density difference to travel, these waves arise because the Earth's rotation affects moving air and water differently at different latitudes. Their name is often applied to the wavy patterns seen in the jet stream, which can steer weather systems across continents.

History

The concept was identified by Carl-Gustaf Rossby in the late 1930s while he was studying the large-scale motions of the atmosphere.

How it works

Imagine a parcel of air displaced northward. Because the Earth's rotation is stronger (in terms of the Coriolis effect) at higher latitudes, the parcel experiences a restoring force that pushes it back south. But it overshoots, and the same effect pushes it north again, setting up a wave that propagates westward relative to the mean flow. In the ocean, the same physics creates slow, large-scale undulations of currents and sea surface height.

In practice

Rossby waves are key to medium-range weather forecasting, as their positions and movements influence the formation of high- and low-pressure systems.

Fun fact

Rossby waves in the ocean can take months to cross an ocean basin, yet they subtly influence sea surface temperatures and marine ecosystems.

Concept graph →

Related articles · 17

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Stellar2026-02-112 minarXiv:2602.11227express
The Sun's Tidal Rhythms
The Sun is not a calm sphere but a boiling cauldron that follows its own rhythms. Roughly every 11 years, its activity peaks: more dark spots appear on its surface, and streams of charged particles fly into space. But hidden within this grand cycle is a shorter one — about 1.7 years.
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Inside giant planets like Jupiter and Saturn, heat doesn't always rise freely. Heavy elements, which are more abundant in some layers than others, prevent hot fluid from floating up. This creates semiconvection — a type of mixing where heat and composition spread at different rates.
Exoplanets2025-11-281 minarXiv:2511.23163express
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